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Finding the Fourth Proportional to 7,770.94, 11,646.69 and 3,876.46

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Solution

The fourth proportional to 7,770.94, 11,646.69 and 3,876.46 is: 5,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.94 : 11,646.69 = 3,876.46 : x
  2. Step 2: Convert to fraction form
    7,770.94/11,646.69 = 3,876.46/x
  3. Step 3: Cross multiply
    7,770.94x = 11,646.69 × 3,876.46
  4. Step 4: Simplify right side
    7,770.94x = 45,147,927.92
  5. Step 5: Solve for x
    x = 45,147,927.92/7,770.94
  6. Step 6: Final answer
    x = 5,809.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.